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Finding the Fourth Proportional to 291,527.72, 402,310.50 and 164,191.40

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Solution

The fourth proportional to 291,527.72, 402,310.50 and 164,191.40 is: 226,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,527.72 : 402,310.50 = 164,191.40 : x
  2. Step 2: Convert to fraction form
    291,527.72/402,310.50 = 164,191.40/x
  3. Step 3: Cross multiply
    291,527.72x = 402,310.50 × 164,191.40
  4. Step 4: Simplify right side
    291,527.72x = 66,055,924,229.70
  5. Step 5: Solve for x
    x = 66,055,924,229.70/291,527.72
  6. Step 6: Final answer
    x = 226,585.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.